Lectures on Invariant Theory (London Mathematical Society Lecture Note Series, Series Number 296)

Dolgachev, Igor

ISBN 10: 0521525489 / ISBN 13: 9780521525480

Published by Cambridge University Press, 2003

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Bibliographic Details

• Title: Lectures on Invariant Theory (London Mathematical Society Lecture Note Series, Series Number 296)
• Publisher: Cambridge University Press
• Publication Date: 2003
• Language: English
• ISBN 10: 0521525489
• ISBN 13: 9780521525480
• Binding: Soft cover
• Condition: New

About this title

Synopsis

This introduction to the main ideas of algebraic and geometric invariant theory assumes only a minimal background in algebraic geometry, algebra and representation theory. Topics covered include the symbolic method for computation of invariants on the space of homogeneous forms, the problem of finite-generatedness of the algebra of invariants, and the theory of covariants and constructions of categorical and geometric quotients. Throughout, the emphasis is on concrete examples that originate in classical algebraic geometry. Written in an accessible style with many examples and exercises, the book offers a novel discussion of possible linearizations of actions and the variation of quotients under the change of linearization.

Book Description

Based on lectures given at University of Michigan, Harvard University and Seoul National University, the primary goal of this book is to give a brief introduction to the main ideas of algebraic and geometric invariant theory. Throughout, the emphasis is on concrete examples which originate in classical algebraic geometry. The style is accessible and there are numerous examples and exercises to aid the reader.